Finding the Third Proportional to 472,688 and 709,384

Step by Step Solution

1. Step 1: Write the proportion equation
   472,688 : 709,384 = 709,384 : x
2. Step 2: Convert to fraction form
   472,688/709,384 = 709,384/x
3. Step 3: Cross multiply
   472,688x = 709,384 × 709,384
4. Step 4: Simplify right side
   472,688x = 503,225,659,456
5. Step 5: Solve for x
   x = 503,225,659,456/472,688
6. Step 6: Final answer
   x = 1,064,604.26